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Finding the Fourth Proportional to 1,531.90, 2,297.85 and 666.01

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Solution

The fourth proportional to 1,531.90, 2,297.85 and 666.01 is: 999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.90 : 2,297.85 = 666.01 : x
  2. Step 2: Convert to fraction form
    1,531.90/2,297.85 = 666.01/x
  3. Step 3: Cross multiply
    1,531.90x = 2,297.85 × 666.01
  4. Step 4: Simplify right side
    1,531.90x = 1,530,391.08
  5. Step 5: Solve for x
    x = 1,530,391.08/1,531.90
  6. Step 6: Final answer
    x = 999.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.